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Finding the Third Proportional to 2,463,688 and 5,267,856

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Solution

The third proportional to 2,463,688 and 5,267,856 is: 11,263,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,688 : 5,267,856 = 5,267,856 : x
  2. Step 2: Convert to fraction form
    2,463,688/5,267,856 = 5,267,856/x
  3. Step 3: Cross multiply
    2,463,688x = 5,267,856 × 5,267,856
  4. Step 4: Simplify right side
    2,463,688x = 27,750,306,836,736
  5. Step 5: Solve for x
    x = 27,750,306,836,736/2,463,688
  6. Step 6: Final answer
    x = 11,263,726.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.